GCSE · Ratio

Sharing a quantity in a ratioExam-style questions

Why a ratio splits a quantity into equal "parts", how to find the value of one part, and how that unlocks difference, one-share-given, and fraction questions.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4

1
Share £ $150$ between Jo and Kai in the ratio $2 : 3$ .
Level 2 · 2 marksTry it
2
Ali, Bea and Cara share £ $4200$ in the ratio $2 : 3 : 7$

Work out how much more Cara receives than Ali. (3 marks)
Level 2 · 3 marksTry it
3
Ann, Ben and Cal share some money in the ratio $2 : 3 : 5$

Cal receives £ $45$ more than Ann.

(a) Work out the total amount of money shared. [3]

(b) What fraction of the total does Ben receive? [1]
Level 2 · 4 marksTry it
4
Pink paint is made by mixing red paint and white paint in the ratio $3 : 5$ by volume.

Red paint costs £ $4$ per litre. White paint costs £ $2.50$ per litre.

Work out the cost of the paint needed to make $2$ litres of pink paint. [3]
Level 2 · 3 marksTry it
5
Max makes $90$ kg of mortar by mixing only cement and sand.

mass of cement : mass of sand $= 1 : 5$

Max says,

" $\frac{1}{5}$ of the mortar is cement, so I used $18$ kg of cement."

Is Max correct?

You must give a reason for your answer.

(1 mark)
Level 2 · 1 markTry it